Math Flashcards
What molar ratio (salt:acid) would be required to make a buffer solution of sodium acetate and acetic acid with pH of 5.76. The pKa of acetic acid is 4.76. (Round to nearest WHOLE number)
10:1
CB is a patient on the medical floor. Earlier today D5 1/2NS + 40 mEq KCl was ordered to run at 75 ml/hr. Unfortunately@ an error was made and her 1 liter bag has been running at only 45 ml/hr for the past 4 hours. How many extra mEq of KCl will CB need to receive now to equal what she would have gotten if the drip had been hanging at the correct rate for the past 4 hours? (Round to nearest TENTH)
4.8 mEq
JM is a patient in the ICU (6’1” and 256 pounds). He is currently receiving a 3-in-1 PN at 115 mL/hr. The PN is 12.1% w/v dextrose and 4.7% w/v protein. The prescriber wants the patient’s protein intake from the PN to be 1.2 g/kg IBW per day. By how many grams will the current protein content need to be reduced to achieve this? (Round to nearest WHOLE number.)
34 g
How many milliliters of a 1:5000 (w/v) solution of boric acid can be made from 50 ml of a 0.4% solution? (Round to nearest WHOLE number)
1000 ml
TH requires 1.5 g/kg/day of protein (based on his total body weight), which will be provided by Aminosyn 15%. TH is a 62-year-old male (weight 89 kg, height 6’2”) who is confined to bed (activity factor 1.2) due to severe pneumonia (stress factor 1.6). How many milliliters of Aminosyn 15% should he receive? (Round to nearest WHOLE number)
890 ml
The clinical pharmacist in the Pediatric ICU is asked to determine what rate to run a child’s IV at. The IV contains 9 ml of 39.2% potassium acetate in normal saline to prepare a 1 l bag. The prescriber wants the child to receive 2.5 mEq/hr of potassium acetate. (MW of K=39; MW of acetate=59). What rate (in ml/hr) would provide the desired mEq/hr of potassium acetate? (Round to nearest WHOLE number)
69 ml/hr
Express 1:5000 as a percentage strength. (Round to nearest HUNDREDTH)
0.02%
A pharmacist has a prescription for 30 ml of an eye drop that is to contain benzalkonium chloride 1:750 as a preservative. On the shelf the pharmacist finds 17% benzalkonium chloride. Using a dropper that delivers 25 drops/ml, how many drops will be required to prepare this compound formula? (Round to nearest WHOLE number)
6 drops
CB is receiving 1,150 ml of D30W, 860 ml of Aminosyn 8.5%, and 340 ml of Intralipid 10% in his PN. What percentage of the non-protein calories are represented by dextrose? (Round to nearest WHOLE number)
76%
A pharmacist is asked to compound 60 ml of an isotonic eye drop. Drug X (a liquid with an E-value of 0.33) and sodium chloride will be used to prepare a final concentration of 1:500 (w/v). How many milligrams of sodium chloride must be added to make the eye drops isotonic? (Round to nearest WHOLE number)
500 ml
A patient has been receiving 400 ml of an enteral mixture that contains532 mOsm/l. The pharmacist will reduce the contents to 380 mOsm/l. How many milliliters of bacteriostatic water should be added to the current bag? (Round to nearest WHOLE number)
160 ml
A 45 lb child with acute bacterial tonsillitis is to receive a cefdinir at 7 mg/kg/dose twice a day for 5 days. Cefdinir comes in 250 mg/5 ml oral suspension. How many milliliters will this child need per day? (Round to nearest WHOLE number)
6 ml
A new patient is being seen today in the pharmacist-run disease state management clinic. She is from France and just moved to the US. She is very knowledgable about her medical conditions. She states that her most recent total cholesterol level was 5.2 mmol/l. The pharmacist knows that his lab reports total cholesterol in mg/dl. He looks online and determines the MW of cholesterol is 387. What is the patient’s total cholesterol in mg/dl? (Round to nearest WHOLE number)
201 mg/dl
How many milliliters of polyethylene glycol 400 (SG=1.13) are needed to prepare a prescription that includes 54 g of the surfactant/emulsifier (polyethylene glycol)? (Round to nearest ONE DECIMAL PLACE)
47.8 ml
A patient in the Emergency Department is receivingD5 1/4 NS + 20 mEq KCl. The 1 liter bag is being run with IV tubing that delivers 15 drops/ml. The patient has been receiving this for 8 hours at a rate of 12 drops/min. How many mEq of potassium has the patient received so far? (Round to nearest ONE DECIMAL PLACE)
7.7 mEq
Express 660 parts per million (PPM) as a percentage. (Round to nearest THREE DECIMAL PLACES)
0.07%
All of the epinephrine auto-injectors and prefilled syringes in the hospital have expired or been recalled. The pharmacist must use epinephrine 1:1000 for a patient having an anaphylactic reaction on the floor. The prescriber has ordered “epinephrine 0.5 mg SC stat”. How many milliliters of the available epinephrine product should be administered? (Round to nearest TENTH)
0.5 ml
A patient is receiving 650 ml of 10% lipids. How many kcal is the patient receiving from the lipids? (Round to nearest WHOLE number)
715 kcal
An order is written to add 600 ml of 10% amino acid solution to a PN. The only concentration in stock is 15% solution. How many milliliters of the15% solutions should the pharmacist add? (Round to nearest WHOLE number)
400 ml
A pharmacist mixed 500 g of a liquid drug (SG = 0.662) in enough liquid to prepare 2 liters of a final product. What is the percentage strength (v/v) of the final product? (Round to nearest WHOLE number)
38%
One gallon of hand lotion contains 472 mL of cetyl alcohol. What is the percentage (v/v) of cetyl alcohol in the lotion? (Round to nearest WHOLE number)
12%
A hospital pharmacist receives a prescription for 3% saline for a patient in the Near ICU. The premixed 3% saline bags that the pharmacy normally stocks are on a backorder. How many milliequivalents of 23.4% NaCl will need to be added to a 1 liter bag of normal saline to prepare 3% saline for this patient? (Round to nearest TENTH)
411.8 mEq
Express 0.5% as a ratio strength. (Round to nearest WHOLE number)
1:200
A pharmacist receives a prescription for 1.5% (w/w) hydrocortisone cream using cold cream as the base. She will use hydrocortisone injection (100 mg/ml@ SG 1.5) to prepare the prescription because she has no hydrocortisone powder in stock. How many grams of cold cream are required to compound 60 grams of preparation?
46.5 g